What is the Least Common Multiple of 61812 and 61820?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 61812 and 61820 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61812 and 61820, than apply into the LCM equation.

GCF(61812,61820) = 4
LCM(61812,61820) = ( 61812 × 61820) / 4
LCM(61812,61820) = 3821217840 / 4
LCM(61812,61820) = 955304460

Least Common Multiple (LCM) of 61812 and 61820 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61812 and 61820. First we will calculate the prime factors of 61812 and 61820.

Prime Factorization of 61812

Prime Factorization of 61820

Now multiplying the highest exponent prime factors to calculate the LCM of 61812 and 61820.

LCM(61812,61820) = 2² × 3² × 17¹ × 101¹ × 5¹ × 11¹ × 281¹
LCM(61812,61820) = 955304460